I have a few friends from KJ Somiya and they gave me some information regarding the required cutoff at the institute. 

• The cut-off was apparently on the higher side in the CAP rounds because the institute was granted autonomy very recently. The state merit rank for the mechanical branch was almost around 500 - 1000.
• For computer science engineering, the cut-off ranged almost to 1600 - 1800, while it was 3000 - 3500 until CAP-2 with the inclusion of a percentile that was around 96. 

It is best that you keep patience until the last counseling round, which is, CAP-3. If you are a general category student then you won’t get selected in CAP-1, you need to wait till the last round or the spot round. Alternatively, you can also go for autonomous colleges instead of university colleges.